1257915800601 has 6 divisors (see below), whose sum is σ = 1816989489770. Its totient is φ = 838610533728.

The previous prime is 1257915800563. The next prime is 1257915800629. The reversal of 1257915800601 is 1060085197521.

1257915800601 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 9 + 1 + 580 + 0 + 60 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1212333123600 + 45582677001 = 1101060^2 + 213501^2 .

It is not a de Polignac number, because 1257915800601 - 2²⁷ = 1257781582873 is a prime.

It is a super-2 number, since 2×1257915800601² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1257915800201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69884211136 + ... + 69884211153.

Almost surely, 2^{1257915800601} is an apocalyptic number.

It is an amenable number.

1257915800601 is a deficient number, since it is larger than the sum of its proper divisors (559073689169).

1257915800601 is a wasteful number, since it uses less digits than its factorization.

1257915800601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139768422295 (or 139768422292 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 1257915800601 in words is "one trillion, two hundred fifty-seven billion, nine hundred fifteen million, eight hundred thousand, six hundred one".