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152516202553361 is a prime number
BaseRepresentation
bin100010101011011001110010…
…000100110110000000010001
3202000000101222101111100102002
4202223121302010312000101
5124442311140323201421
61300212550505203345
744060634451442033
oct4253316204660021
9660011871440362
10152516202553361
1144661838285709
12151327b3790555
1367142a6c7381a
142993b75d09c53
15129746a6e6b0b
hex8ab672136011

152516202553361 has 2 divisors, whose sum is σ = 152516202553362. Its totient is φ = 152516202553360.

The previous prime is 152516202553301. The next prime is 152516202553433. The reversal of 152516202553361 is 163355202615251.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122567727402961 + 29948475150400 = 11071031^2 + 5472520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-152516202553361 is a prime.

It is a super-2 number, since 2×1525162025533612 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (152516202553301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76258101276680 + 76258101276681.

It is an arithmetic number, because the mean of its divisors is an integer number (76258101276681).

Almost surely, 2152516202553361 is an apocalyptic number.

It is an amenable number.

152516202553361 is a deficient number, since it is larger than the sum of its proper divisors (1).

152516202553361 is an equidigital number, since it uses as much as digits as its factorization.

152516202553361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620000, while the sum is 47.

The spelling of 152516202553361 in words is "one hundred fifty-two trillion, five hundred sixteen billion, two hundred two million, five hundred fifty-three thousand, three hundred sixty-one".