351413013150540 has 72 divisors (see below), whose sum is σ = 1162857607159248. Its totient is φ = 85191033490560.

The previous prime is 351413013150523. The next prime is 351413013150569. The reversal of 351413013150540 is 45051310314153.

351413013150540 is a `hidden beast` number, since 3 + 5 + 1 + 4 + 1 + 30 + 1 + 31 + 50 + 540 = 666.

It is a super-2 number, since 2×351413013150540² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 351413013150495 and 351413013150504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88740657907 + ... + 88740661866.

It is an arithmetic number, because the mean of its divisors is an integer number (16150800099434).

Almost surely, 2^{351413013150540} is an apocalyptic number.

351413013150540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

351413013150540 is an abundant number, since it is smaller than the sum of its proper divisors (811444594008708).

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

351413013150540 is a wasteful number, since it uses less digits than its factorization.

351413013150540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177481319799 (or 177481319794 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 351413013150540 its reverse (45051310314153), we get a palindrome (396464323464693).

The spelling of 351413013150540 in words is "three hundred fifty-one trillion, four hundred thirteen billion, thirteen million, one hundred fifty thousand, five hundred forty".