15066335025 has 135 divisors (see below), whose sum is σ = 31670825771. Its totient is φ = 6846225120.

The previous prime is 15066334973. The next prime is 15066335027. The reversal of 15066335025 is 52053366051.

The square root of 15066335025 is 122745.

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

15066335025 is a `hidden beast` number, since 15 + 0 + 6 + 633 + 5 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5423880609 + 9642454416 = 73647^2 + 98196^2 .

It is not a de Polignac number, because 15066335025 - 2⁹ = 15066334513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15066335027) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 90217492 + ... + 90217658.

Almost surely, 2^15066335025 is an apocalyptic number.

15066335025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15066335025 is the 122745-th square number.

15066335025 is the 61373-rd centered octagonal number.

It is an amenable number.

15066335025 is an abundant number, since it is smaller than the sum of its proper divisors (16604490746).

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

15066335025 is an frugal number, since it uses more digits than its factorization.

15066335025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Multiplying 15066335025 by its sum of digits (36), we get a square (542388060900 = 736470²).

The spelling of 15066335025 in words is "fifteen billion, sixty-six million, three hundred thirty-five thousand, twenty-five".