503456401061251 has 24 divisors (see below), whose sum is σ = 553285784056320. Its totient is φ = 454328445288000.

The previous prime is 503456401061227. The next prime is 503456401061267. The reversal of 503456401061251 is 152160104654305.

It is not a de Polignac number, because 503456401061251 - 2²³ = 503456392672643 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 503456401061198 and 503456401061207.

It is not an unprimeable number, because it can be changed into a prime (503456401061951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9959350426 + ... + 9959400976.

It is an arithmetic number, because the mean of its divisors is an integer number (23053574335680).

Almost surely, 2^{503456401061251} is an apocalyptic number.

503456401061251 is a deficient number, since it is larger than the sum of its proper divisors (49829382995069).

503456401061251 is a wasteful number, since it uses less digits than its factorization.

503456401061251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99075 (or 98938 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 503456401061251 in words is "five hundred three trillion, four hundred fifty-six billion, four hundred one million, sixty-one thousand, two hundred fifty-one".