1950002780625 has 135 divisors (see below), whose sum is σ = 3611810340567. Its totient is φ = 1013469408000.

The previous prime is 1950002780617. The next prime is 1950002780647. The reversal of 1950002780625 is 5260872000591.

The square root of 1950002780625 is 1396425.

It is a perfect power (a square), and thus also a powerful number.

1950002780625 is a `hidden beast` number, since 1 + 9 + 500 + 0 + 2 + 7 + 80 + 62 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 1943523174609 + 6479606016 = 1394103^2 + 80496^2 .

It is not a de Polignac number, because 1950002780625 - 2³ = 1950002780617 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4503470409 + ... + 4503470841.

Almost surely, 2^{1950002780625} is an apocalyptic number.

1950002780625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1950002780625 is the 1396425-th square number.

1950002780625 is the 698213-rd centered octagonal number.

It is an amenable number.

1950002780625 is a deficient number, since it is larger than the sum of its proper divisors (1661807559942).

1950002780625 is an frugal number, since it uses more digits than its factorization.

1950002780625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 484 counting only the distinct ones).

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

It can be divided in two parts, 195000 and 2780625, that added together give a square (2975625 = 1725²).

The spelling of 1950002780625 in words is "one trillion, nine hundred fifty billion, two million, seven hundred eighty thousand, six hundred twenty-five".