725006533755127 has 16 divisors (see below), whose sum is σ = 809817717838752. Its totient is φ = 644702296291200.

The previous prime is 725006533755059. The next prime is 725006533755143. The reversal of 725006533755127 is 721557335600527.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 725006533755127 - 2³¹ = 725004386271479 is a prime.

It is a super-2 number, since 2×725006533755127² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725006533755157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7461783553 + ... + 7461880714.

It is an arithmetic number, because the mean of its divisors is an integer number (50613607364922).

Almost surely, 2^{725006533755127} is an apocalyptic number.

725006533755127 is a deficient number, since it is larger than the sum of its proper divisors (84811184083625).

725006533755127 is a wasteful number, since it uses less digits than its factorization.

725006533755127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14923664418.

The product of its (nonzero) digits is 46305000, while the sum is 58.

The spelling of 725006533755127 in words is "seven hundred twenty-five trillion, six billion, five hundred thirty-three million, seven hundred fifty-five thousand, one hundred twenty-seven".