1352880701956 has 81 divisors (see below), whose sum is σ = 2773473709671. Its totient is φ = 575751330000.

The previous prime is 1352880701831. The next prime is 1352880701959. The reversal of 1352880701956 is 6591070882531.

The square root of 1352880701956 is 1163134.

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

It is a junction number, because it is equal to n+sod(n) for n = 1352880701897 and 1352880701906.

It is not an unprimeable number, because it can be changed into a prime (1352880701959) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4087252711 + ... + 4087253041.

Almost surely, 2^{1352880701956} is an apocalyptic number.

1352880701956 is the 1163134-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352880701956

1352880701956 is an abundant number, since it is smaller than the sum of its proper divisors (1420593007715).

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

1352880701956 is an frugal number, since it uses more digits than its factorization.

1352880701956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 1352880701956 in words is "one trillion, three hundred fifty-two billion, eight hundred eighty million, seven hundred one thousand, nine hundred fifty-six".