1012758948 has 36 divisors (see below), whose sum is σ = 2561455260. Its totient is φ = 337398336.

The previous prime is 1012758941. The next prime is 1012758949. The reversal of 1012758948 is 8498572101.

1012758948 is a `hidden beast` number, since 1 + 0 + 1 + 27 + 589 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122810724 + 889948224 = 11082^2 + 29832^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1012758941) 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 11 ways as a sum of consecutive naturals, for example, 67686 + ... + 81282.

It is an arithmetic number, because the mean of its divisors is an integer number (71151535).

Almost surely, 2^1012758948 is an apocalyptic number.

1012758948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1012758948 is an abundant number, since it is smaller than the sum of its proper divisors (1548696312).

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

1012758948 is a wasteful number, since it uses less digits than its factorization.

1012758948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15676 (or 15671 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 1012758948 is about 31823.8738685283. The cubic root of 1012758948 is about 1004.2350219369.

The spelling of 1012758948 in words is "one billion, twelve million, seven hundred fifty-eight thousand, nine hundred forty-eight".