1009971972 has 36 divisors (see below), whose sum is σ = 2703161916. Its totient is φ = 316853760.

The previous prime is 1009971953. The next prime is 1009971973. The reversal of 1009971972 is 2791799001.

It can be written as a sum of positive squares in 2 ways, for example, as 903964356 + 106007616 = 30066^2 + 10296^2 .

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 (1009971973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 824529 + ... + 825752.

It is an arithmetic number, because the mean of its divisors is an integer number (75087831).

Almost surely, 2^1009971972 is an apocalyptic number.

1009971972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1009971972 is an abundant number, since it is smaller than the sum of its proper divisors (1693189944).

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

1009971972 is a wasteful number, since it uses less digits than its factorization.

1009971972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650308 (or 1650303 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The square root of 1009971972 is about 31780.0561988175. The cubic root of 1009971972 is about 1003.3130025596.

The spelling of 1009971972 in words is "one billion, nine million, nine hundred seventy-one thousand, nine hundred seventy-two".