15436820025 has 135 divisors (see below), whose sum is σ = 31555846399. Its totient is φ = 7454700000.

The previous prime is 15436820023. The next prime is 15436820053. The reversal of 15436820025 is 52002863451.

The square root of 15436820025 is 124245.

It is a perfect power (a square), and thus also a powerful number.

15436820025 is a `hidden beast` number, since 15 + 436 + 8 + 200 + 2 + 5 = 666.

15436820025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5557255209 + 9879564816 = 74547^2 + 99396^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 15436820025 - 2¹ = 15436820023 is a prime.

It is a super-4 number, since 4×15436820025⁴ (a number of 42 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (15436820023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 61501150 + ... + 61501400.

Almost surely, 2^15436820025 is an apocalyptic number.

15436820025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15436820025 is the 124245-th square number.

15436820025 is the 62123-rd centered octagonal number.

It is an amenable number.

15436820025 is an abundant number, since it is smaller than the sum of its proper divisors (16119026374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15436820025 is an equidigital number, since it uses as much as digits as its factorization.

15436820025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 15436820025 by its sum of digits (36), we get a square (555725520900 = 745470²).

Multiplying 15436820025 by its product of nonzero digits (57600), we get a square (889160833440000 = 29818800²).

The spelling of 15436820025 in words is "fifteen billion, four hundred thirty-six million, eight hundred twenty thousand, twenty-five".