40513925153025 has 243 divisors, whose sum is σ = 78139456912881. Its totient is φ = 20061838632960.

The previous prime is 40513925153003. The next prime is 40513925153029. The reversal of 40513925153025 is 52035152931504.

The square root of 40513925153025 is 6365055.

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

40513925153025 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 3 + 92 + 5 + 1 + 530 + 25 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 16593491867121 + 23920433285904 = 4073511^2 + 4890852^2 .

It is not a de Polignac number, because 40513925153025 - 2²⁹ = 40513388282113 is a prime.

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 (40513925153029) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 176916703611 + ... + 176916703839.

Almost surely, 2^{40513925153025} is an apocalyptic number.

40513925153025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40513925153025 is the 6365055-th square number.

40513925153025 is the 3182528-th centered octagonal number.

It is an amenable number.

40513925153025 is a deficient number, since it is larger than the sum of its proper divisors (37625531759856).

40513925153025 is a wasteful number, since it uses less digits than its factorization.

40513925153025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 40513925153025 in words is "forty trillion, five hundred thirteen billion, nine hundred twenty-five million, one hundred fifty-three thousand, twenty-five".