1315016531064 has 192 divisors, whose sum is σ = 3797771028480. Its totient is φ = 409633920000.

The previous prime is 1315016531057. The next prime is 1315016531071. The reversal of 1315016531064 is 4601356105131.

1315016531064 is a `hidden beast` number, since 1 + 3 + 1 + 50 + 16 + 531 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (1315016531057) and next prime (1315016531071).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133485739 + ... + 133495589.

It is an arithmetic number, because the mean of its divisors is an integer number (19780057440).

Almost surely, 2^{1315016531064} 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 1315016531064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898885514240).

1315016531064 is an abundant number, since it is smaller than the sum of its proper divisors (2482754497416).

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

1315016531064 is a wasteful number, since it uses less digits than its factorization.

1315016531064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10642 (or 10635 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1315016531064 in words is "one trillion, three hundred fifteen billion, sixteen million, five hundred thirty-one thousand, sixty-four".