1054307972025 has 405 divisors, whose sum is σ = 2440676399343. Its totient is φ = 434703931200.

The previous prime is 1054307972023. The next prime is 1054307972033. The reversal of 1054307972025 is 5202797034501.

It is a happy number.

The square root of 1054307972025 is 1026795.

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

1054307972025 is a `hidden beast` number, since 1 + 0 + 5 + 430 + 7 + 9 + 7 + 202 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 379550869929 + 674757102096 = 616077^2 + 821436^2 .

It is not a de Polignac number, because 1054307972025 - 2¹ = 1054307972023 is a prime.

It is a super-2 number, since 2×1054307972025² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1054307972023) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 8301637512 + ... + 8301637638.

Almost surely, 2^{1054307972025} is an apocalyptic number.

1054307972025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1054307972025 is the 1026795-th square number.

1054307972025 is the 513398-th centered octagonal number.

It is an amenable number.

1054307972025 is an abundant number, since it is smaller than the sum of its proper divisors (1386368427318).

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

1054307972025 is an equidigital number, since it uses as much as digits as its factorization.

1054307972025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 1054307972025 in words is "one trillion, fifty-four billion, three hundred seven million, nine hundred seventy-two thousand, twenty-five".