1972258506 has 48 divisors (see below), whose sum is σ = 4528447560. Its totient is φ = 619261440.

The previous prime is 1972258493. The next prime is 1972258507. The reversal of 1972258506 is 6058522791.

1972258506 is a `hidden beast` number, since 1 + 97 + 2 + 2 + 58 + 506 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1439064225 + 533194281 = 37935^2 + 23091^2 .

It is a super-2 number, since 2×1972258506² = 7779607228978704072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1972258507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24675 + ... + 67478.

Almost surely, 2^1972258506 is an apocalyptic number.

1972258506 is an abundant number, since it is smaller than the sum of its proper divisors (2556189054).

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

1972258506 is a wasteful number, since it uses less digits than its factorization.

1972258506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92231 (or 92228 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1972258506 is about 44410.1171581431. The cubic root of 1972258506 is about 1254.0685577164.

The spelling of 1972258506 in words is "one billion, nine hundred seventy-two million, two hundred fifty-eight thousand, five hundred six".