Search a number
-
+
2251500137 is a prime number
BaseRepresentation
bin1000011000110011…
…0010101001101001
312210220121001112222
42012030302221221
514102341001022
61011225243425
7106536302225
oct20614625151
95726531488
102251500137
11a55a05417
1252a033575
1329b5c3803
14175045785
15d29e1242
hex86332a69

2251500137 has 2 divisors, whose sum is σ = 2251500138. Its totient is φ = 2251500136.

The previous prime is 2251500103. The next prime is 2251500143. The reversal of 2251500137 is 7310051522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1255214041 + 996286096 = 35429^2 + 31564^2 .

It is a cyclic number.

It is not a de Polignac number, because 2251500137 - 28 = 2251499881 is a prime.

It is a super-2 number, since 2×22515001372 = 10138505733822037538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2251500197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1125750068 + 1125750069.

It is an arithmetic number, because the mean of its divisors is an integer number (1125750069).

Almost surely, 22251500137 is an apocalyptic number.

It is an amenable number.

2251500137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2251500137 is an equidigital number, since it uses as much as digits as its factorization.

2251500137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 2251500137 is about 47449.9751000988. The cubic root of 2251500137 is about 1310.6618524908.

Adding to 2251500137 its reverse (7310051522), we get a palindrome (9561551659).

The spelling of 2251500137 in words is "two billion, two hundred fifty-one million, five hundred thousand, one hundred thirty-seven".