48007001025 has 81 divisors (see below), whose sum is σ = 89453833833. Its totient is φ = 25556407200.

The previous prime is 48007000967. The next prime is 48007001087. The reversal of 48007001025 is 52010070084.

The square root of 48007001025 is 219105.

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

48007001025 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 4 ways, for example, as 2832049089 + 45174951936 = 53217^2 + 212544^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 48007001025 - 2¹³ = 48006992833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 48007001025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 88737255 + ... + 88737795.

Almost surely, 2^48007001025 is an apocalyptic number.

48007001025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48007001025 is the 219105-th square number.

48007001025 is the 109553-rd centered octagonal number.

It is an amenable number.

48007001025 is a deficient number, since it is larger than the sum of its proper divisors (41446832808).

48007001025 is an frugal number, since it uses more digits than its factorization.

48007001025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 48007001025 in words is "forty-eight billion, seven million, one thousand, twenty-five".