1008951319921 has 8 divisors (see below), whose sum is σ = 1030577549544. Its totient is φ = 987420994560.

The previous prime is 1008951319913. The next prime is 1008951319927. The reversal of 1008951319921 is 1299131598001.

1008951319921 = 710264² + 710265².

It can be written as a sum of positive squares in 4 ways, for example, as 504476370225 + 504474949696 = 710265^2 + 710264^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1008951319921 - 2³ = 1008951319913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1008951319927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23954800 + ... + 23996881.

It is an arithmetic number, because the mean of its divisors is an integer number (128822193693).

Almost surely, 2^{1008951319921} is an apocalyptic number.

1008951319921 is the 710265-th centered square number.

It is an amenable number.

1008951319921 is a deficient number, since it is larger than the sum of its proper divisors (21626229623).

1008951319921 is an equidigital number, since it uses as much as digits as its factorization.

1008951319921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47952131.

The product of its (nonzero) digits is 174960, while the sum is 49.

The spelling of 1008951319921 in words is "one trillion, eight billion, nine hundred fifty-one million, three hundred nineteen thousand, nine hundred twenty-one".