1012965534 has 192 divisors, whose sum is σ = 2780870400. Its totient is φ = 272051136.

The previous prime is 1012965467. The next prime is 1012965559. The reversal of 1012965534 is 4355692101.

1012965534 is a `hidden beast` number, since 1 + 0 + 12 + 96 + 553 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3299409 + ... + 3299715.

It is an arithmetic number, because the mean of its divisors is an integer number (14483700).

Almost surely, 2^1012965534 is an apocalyptic number.

1012965534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012965534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390435200).

1012965534 is an abundant number, since it is smaller than the sum of its proper divisors (1767904866).

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

1012965534 is a wasteful number, since it uses less digits than its factorization.

1012965534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

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

The square root of 1012965534 is about 31827.1194738072. The cubic root of 1012965534 is about 1004.3032997148.

The spelling of 1012965534 in words is "one billion, twelve million, nine hundred sixty-five thousand, five hundred thirty-four".