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2505132361 is a prime number
BaseRepresentation
bin1001010101010001…
…0100100101001001
320110120211220120001
42111110110211021
520112303213421
61052325403001
7116036162614
oct22524244511
96416756501
102505132361
11107609a026
1259ab69461
1330c008554
1419a9c917b
15e9de1691
hex95514949

2505132361 has 2 divisors, whose sum is σ = 2505132362. Its totient is φ = 2505132360.

The previous prime is 2505132341. The next prime is 2505132367. The reversal of 2505132361 is 1632315052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1486565136 + 1018567225 = 38556^2 + 31915^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505132361 - 27 = 2505132233 is a prime.

It is a super-2 number, since 2×25051323612 = 12551376292258868642, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2505132367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252566180 + 1252566181.

It is an arithmetic number, because the mean of its divisors is an integer number (1252566181).

Almost surely, 22505132361 is an apocalyptic number.

It is an amenable number.

2505132361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505132361 is an equidigital number, since it uses as much as digits as its factorization.

2505132361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 2505132361 is about 50051.2972958744. The cubic root of 2505132361 is about 1358.1369315327.

The spelling of 2505132361 in words is "two billion, five hundred five million, one hundred thirty-two thousand, three hundred sixty-one".