12951578025 has 81 divisors (see below), whose sum is σ = 24174741253. Its totient is φ = 6882926400.

The previous prime is 12951578023. The next prime is 12951578033. The reversal of 12951578025 is 52087515921.

The square root of 12951578025 is 113805.

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

12951578025 is a `hidden beast` number, since 1 + 2 + 9 + 51 + 578 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18429849 + 12933148176 = 4293^2 + 113724^2 .

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

It is not a de Polignac number, because 12951578025 - 2¹ = 12951578023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12951578023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 46090885 + ... + 46091165.

Almost surely, 2^12951578025 is an apocalyptic number.

12951578025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12951578025 is the 113805-th square number.

12951578025 is the 56903-rd centered octagonal number.

It is an amenable number.

12951578025 is a deficient number, since it is larger than the sum of its proper divisors (11223163228).

12951578025 is an frugal number, since it uses more digits than its factorization.

12951578025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 12951578025 in words is "twelve billion, nine hundred fifty-one million, five hundred seventy-eight thousand, twenty-five".