1310990167552 has 80 divisors (see below), whose sum is σ = 2841506225712. Its totient is φ = 600655380480.

The previous prime is 1310990167549. The next prime is 1310990167639. The reversal of 1310990167552 is 2557610990131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1310990167496 and 1310990167505.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 193027 + ... + 1630717.

Almost surely, 2^{1310990167552} 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 1310990167552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420753112856).

1310990167552 is an abundant number, since it is smaller than the sum of its proper divisors (1530516058160).

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

1310990167552 is a wasteful number, since it uses less digits than its factorization.

1310990167552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437859 (or 1437843 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 49.

The spelling of 1310990167552 in words is "one trillion, three hundred ten billion, nine hundred ninety million, one hundred sixty-seven thousand, five hundred fifty-two".