19075624029225 has 135 divisors (see below), whose sum is σ = 35865567005191. Its totient is φ = 10023037567200.

The previous prime is 19075624029223. The next prime is 19075624029271. The reversal of 19075624029225 is 52292042657091.

The square root of 19075624029225 is 4367565.

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

19075624029225 is a `hidden beast` number, since 1 + 9 + 0 + 7 + 5 + 6 + 2 + 402 + 9 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6867224650521 + 12208399378704 = 2620539^2 + 3494052^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 19075624029225 - 2¹ = 19075624029223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19075624029223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13954369492 + ... + 13954370858.

Almost surely, 2^{19075624029225} is an apocalyptic number.

19075624029225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19075624029225 is the 4367565-th square number.

19075624029225 is the 2183783-rd centered octagonal number.

It is an amenable number.

19075624029225 is a deficient number, since it is larger than the sum of its proper divisors (16789942975966).

19075624029225 is an frugal number, since it uses more digits than its factorization.

19075624029225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 19075624029225 in words is "nineteen trillion, seventy-five billion, six hundred twenty-four million, twenty-nine thousand, two hundred twenty-five".