1013652948 has 192 divisors, whose sum is σ = 3191021568. Its totient is φ = 242350080.

The previous prime is 1013652929. The next prime is 1013652949. The reversal of 1013652948 is 8492563101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013652949) 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, 737590 + ... + 738962.

It is an arithmetic number, because the mean of its divisors is an integer number (16619904).

Almost surely, 2^1013652948 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 1013652948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595510784).

1013652948 is an abundant number, since it is smaller than the sum of its proper divisors (2177368620).

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

1013652948 is a wasteful number, since it uses less digits than its factorization.

1013652948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1013652948 is about 31837.9168288379. The cubic root of 1013652948 is about 1004.5304269034.

It can be divided in two parts, 1013652 and 948, that added together give a triangular number (1014600 = T₁₄₂₄).

The spelling of 1013652948 in words is "one billion, thirteen million, six hundred fifty-two thousand, nine hundred forty-eight".