351261501360 has 320 divisors, whose sum is σ = 1429057105920. Its totient is φ = 69147786240.

The previous prime is 351261501343. The next prime is 351261501361. The reversal of 351261501360 is 63105162153.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (351261501361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149082 + ... + 851321.

It is an arithmetic number, because the mean of its divisors is an integer number (4465803456).

Almost surely, 2^351261501360 is an apocalyptic number.

351261501360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351261501360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714528552960).

351261501360 is an abundant number, since it is smaller than the sum of its proper divisors (1077795604560).

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

351261501360 is a wasteful number, since it uses less digits than its factorization.

351261501360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000456 (or 1000450 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 351261501360 in words is "three hundred fifty-one billion, two hundred sixty-one million, five hundred one thousand, three hundred sixty".