3501408152025 has 243 divisors, whose sum is σ = 7429110581919. Its totient is φ = 1571812200000.

The previous prime is 3501408151999. The next prime is 3501408152027. The reversal of 3501408152025 is 5202518041053.

The square root of 3501408152025 is 1871205.

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

3501408152025 is a `hidden beast` number, since 3 + 50 + 1 + 4 + 0 + 81 + 520 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1260506934729 + 2240901217296 = 1122723^2 + 1496964^2 .

It is not a de Polignac number, because 3501408152025 - 2⁵ = 3501408151993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3501408152027) 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, 13949833150 + ... + 13949833400.

Almost surely, 2^{3501408152025} is an apocalyptic number.

3501408152025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3501408152025 is the 1871205-th square number.

3501408152025 is the 935603-rd centered octagonal number.

It is an amenable number.

3501408152025 is an abundant number, since it is smaller than the sum of its proper divisors (3927702429894).

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

3501408152025 is an equidigital number, since it uses as much as digits as its factorization.

3501408152025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Multiplying 3501408152025 by its sum of digits (36), we get a square (126050693472900 = 11227230²).

The spelling of 3501408152025 in words is "three trillion, five hundred one billion, four hundred eight million, one hundred fifty-two thousand, twenty-five".