351013520 has 160 divisors (see below), whose sum is σ = 976437504. Its totient is φ = 115660800.

The previous prime is 351013519. The next prime is 351013547. The reversal of 351013520 is 25310153.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 351013492 and 351013501.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 697589 + ... + 698091.

Almost surely, 2^351013520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351013520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488218752).

351013520 is an abundant number, since it is smaller than the sum of its proper divisors (625423984).

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

351013520 is a wasteful number, since it uses less digits than its factorization.

351013520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 351013520 is about 18735.3548138273. The cubic root of 351013520 is about 705.4094631928.

Adding to 351013520 its reverse (25310153), we get a palindrome (376323673).

The spelling of 351013520 in words is "three hundred fifty-one million, thirteen thousand, five hundred twenty".