8123508503901 has 48 divisors (see below), whose sum is σ = 13604526044928. Its totient is φ = 4574802758400.

The previous prime is 8123508503833. The next prime is 8123508503969. The reversal of 8123508503901 is 1093058053218.

8123508503901 is a `hidden beast` number, since 8 + 1 + 2 + 3 + 50 + 8 + 503 + 90 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (8123508503833) and next prime (8123508503969).

It is not a de Polignac number, because 8123508503901 - 2³⁸ = 7848630596957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8123508503701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10916235 + ... + 11636631.

It is an arithmetic number, because the mean of its divisors is an integer number (283427625936).

Almost surely, 2^{8123508503901} is an apocalyptic number.

It is an amenable number.

8123508503901 is a deficient number, since it is larger than the sum of its proper divisors (5481017541027).

8123508503901 is a wasteful number, since it uses less digits than its factorization.

8123508503901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723002 (or 722999 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 8123508503901 in words is "eight trillion, one hundred twenty-three billion, five hundred eight million, five hundred three thousand, nine hundred one".