814153953 has 16 divisors (see below), whose sum is σ = 1153042560. Its totient is φ = 509220096.

The previous prime is 814153939. The next prime is 814153969. The reversal of 814153953 is 359351418.

It is not a de Polignac number, because 814153953 - 2¹⁰ = 814152929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (814153903) 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, 9013 + ... + 41346.

It is an arithmetic number, because the mean of its divisors is an integer number (72065160).

Almost surely, 2^814153953 is an apocalyptic number.

It is an amenable number.

814153953 is a deficient number, since it is larger than the sum of its proper divisors (338888607).

814153953 is a wasteful number, since it uses less digits than its factorization.

814153953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50696.

The product of its digits is 64800, while the sum is 39.

The square root of 814153953 is about 28533.3831327447. The cubic root of 814153953 is about 933.7605290842.

The spelling of 814153953 in words is "eight hundred fourteen million, one hundred fifty-three thousand, nine hundred fifty-three".