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131354521 = 7321572
BaseRepresentation
bin1111101010001…
…00111110011001
3100011011111112021
413311010332121
5232111321041
621011214441
73153331534
oct765047631
9304144467
10131354521
1168167661
1237ba7421
13212a118c
1413633a1b
15b7e9cd1
hex7d44f99

131354521 has 9 divisors (see below), whose sum is σ = 134032221. Its totient is φ = 128729952.

The previous prime is 131354479. The next prime is 131354567. The reversal of 131354521 is 125453131.

It is a happy number.

The square root of 131354521 is 11461.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2758921 + 128595600 = 1661^2 + 11340^2 .

It is not a de Polignac number, because 131354521 - 29 = 131354009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131354621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 836575 + ... + 836731.

It is an arithmetic number, because the mean of its divisors is an integer number (14892469).

Almost surely, 2131354521 is an apocalyptic number.

131354521 is the 11461-st square number.

131354521 is the 5731-st centered octagonal number.

It is an amenable number.

131354521 is a deficient number, since it is larger than the sum of its proper divisors (2677700).

131354521 is an frugal number, since it uses more digits than its factorization.

131354521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 230 counting only the distinct ones).

The product of its digits is 1800, while the sum is 25.

The cubic root of 131354521 is about 508.3330439008. Note that the first 3 decimals are identical.

Multiplying 131354521 by its sum of digits (25), we get a square (3283863025 = 573052).

The spelling of 131354521 in words is "one hundred thirty-one million, three hundred fifty-four thousand, five hundred twenty-one".

Divisors: 1 73 157 5329 11461 24649 836653 1799377 131354521