351412516 has 81 divisors (see below), whose sum is σ = 782231121. Its totient is φ = 137670624.

The previous prime is 351412487. The next prime is 351412519. The reversal of 351412516 is 615214153.

The square root of 351412516 is 18746.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 51984100 + 299428416 = 7210^2 + 17304^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (351412519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3411721 + ... + 3411823.

Almost surely, 2^351412516 is an apocalyptic number.

351412516 is the 18746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351412516

351412516 is an abundant number, since it is smaller than the sum of its proper divisors (430818605).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

351412516 is a wasteful number, since it uses less digits than its factorization.

351412516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 125 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The cubic root of 351412516 is about 705.6766409151.

Multiplying 351412516 by its product of digits (3600), we get a square (1265085057600 = 1124760²).

Adding to 351412516 its reverse (615214153), we get a palindrome (966626669).

The spelling of 351412516 in words is "three hundred fifty-one million, four hundred twelve thousand, five hundred sixteen".