814312053 has 12 divisors (see below), whose sum is σ = 1245418668. Its totient is φ = 510940800.

The previous prime is 814312043. The next prime is 814312067. The reversal of 814312053 is 350213418.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 355624164 + 458687889 = 18858^2 + 21417^2 .

It is not a de Polignac number, because 814312053 - 2²¹ = 812214901 is a prime.

It is a super-2 number, since 2×814312053² = 1326208239322149618, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814312043) 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, 2660998 + ... + 2661303.

It is an arithmetic number, because the mean of its divisors is an integer number (103784889).

Almost surely, 2^814312053 is an apocalyptic number.

It is an amenable number.

814312053 is a deficient number, since it is larger than the sum of its proper divisors (431106615).

814312053 is a wasteful number, since it uses less digits than its factorization.

814312053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322324 (or 5322321 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 814312053 is about 28536.1534373503. The cubic root of 814312053 is about 933.8209672787.

It can be divided in two parts, 81 and 4312053, that added together give a palindrome (4312134).

The spelling of 814312053 in words is "eight hundred fourteen million, three hundred twelve thousand, fifty-three".