507125407401 has 12 divisors (see below), whose sum is σ = 732854735028. Its totient is φ = 337926562944.

The previous prime is 507125407391. The next prime is 507125407487. The reversal of 507125407401 is 104704521705.

507125407401 is a `hidden beast` number, since 5 + 0 + 71 + 2 + 540 + 7 + 40 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 274366440000 + 232758967401 = 523800^2 + 482451^2 .

It is not a de Polignac number, because 507125407401 - 2¹⁰ = 507125406377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (507125400401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13066380 + ... + 13105133.

It is an arithmetic number, because the mean of its divisors is an integer number (61071227919).

Almost surely, 2^507125407401 is an apocalyptic number.

It is an amenable number.

507125407401 is a deficient number, since it is larger than the sum of its proper divisors (225729327627).

507125407401 is a wasteful number, since it uses less digits than its factorization.

507125407401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26173672 (or 26173669 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 507125407401 in words is "five hundred seven billion, one hundred twenty-five million, four hundred seven thousand, four hundred one".