1972516905 has 24 divisors (see below), whose sum is σ = 3420273480. Its totient is φ = 1051626240.

The previous prime is 1972516849. The next prime is 1972516907. The reversal of 1972516905 is 5096152791.

It can be written as a sum of positive squares in 4 ways, for example, as 281333529 + 1691183376 = 16773^2 + 41124^2 .

It is not a de Polignac number, because 1972516905 - 2⁹ = 1972516393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1972516907) 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, 152595 + ... + 165015.

It is an arithmetic number, because the mean of its divisors is an integer number (142511395).

Almost surely, 2^1972516905 is an apocalyptic number.

1972516905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1972516905 is a deficient number, since it is larger than the sum of its proper divisors (1447756575).

1972516905 is a wasteful number, since it uses less digits than its factorization.

1972516905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15961 (or 15958 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The square root of 1972516905 is about 44413.0262985985. The cubic root of 1972516905 is about 1254.1233233415.

The spelling of 1972516905 in words is "one billion, nine hundred seventy-two million, five hundred sixteen thousand, nine hundred five".