514252252415 has 48 divisors (see below), whose sum is σ = 719500574016. Its totient is φ = 351365667840.

The previous prime is 514252252391. The next prime is 514252252429.

514252252415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 514252252415 - 2²⁸ = 513983816959 is a prime.

It is a super-2 number, since 2×514252252415² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5683862 + ... + 5773628.

It is an arithmetic number, because the mean of its divisors is an integer number (14989595292).

Almost surely, 2^514252252415 is an apocalyptic number.

514252252415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

514252252415 is a deficient number, since it is larger than the sum of its proper divisors (205248321601).

514252252415 is a wasteful number, since it uses less digits than its factorization.

514252252415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90368 (or 90357 counting only the distinct ones).

The product of its digits is 160000, while the sum is 38.

It can be divided in two parts, 514252 and 252415, that added together give a palindrome (766667).

The spelling of 514252252415 in words is "five hundred fourteen billion, two hundred fifty-two million, two hundred fifty-two thousand, four hundred fifteen".